Manufacturing A rectangular container with a square base is constructed so that the sum of the height and the perimeter of the base is 20 feet.
(a) Write an equation relating the height, h, to the length of a side of the base, s. Solve the equation for h in terms of s.
(b) Use your answer from part (a) to express the volume of the container in terms of s alone. Leave your expression in factored form so that it will be easier to analyze.
(c) What are the values of s for which this problem makes sense? Explain.
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